.5x+2=2.5x-10

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Solution for .5x+2=2.5x-10 equation:


Simplifying
0.5x + 2 = 2.5x + -10

Reorder the terms:
2 + 0.5x = 2.5x + -10

Reorder the terms:
2 + 0.5x = -10 + 2.5x

Solving
2 + 0.5x = -10 + 2.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.5x' to each side of the equation.
2 + 0.5x + -2.5x = -10 + 2.5x + -2.5x

Combine like terms: 0.5x + -2.5x = -2x
2 + -2x = -10 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
2 + -2x = -10 + 0.0
2 + -2x = -10

Add '-2' to each side of the equation.
2 + -2 + -2x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -10 + -2
-2x = -10 + -2

Combine like terms: -10 + -2 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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